51350171378688 has 528 divisors, whose sum is σ = 188376082492416. Its totient is φ = 13106027888640.

The previous prime is 51350171378687. The next prime is 51350171378711. The reversal of 51350171378688 is 88687317105315.

It is a happy number.

51350171378688 is a `hidden beast` number, since 5 + 1 + 35 + 0 + 171 + 378 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (51350171378687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25010770 + ... + 26985902.

Almost surely, 2^{51350171378688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51350171378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94188041246208).

51350171378688 is an abundant number, since it is smaller than the sum of its proper divisors (137025911113728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51350171378688 is a wasteful number, since it uses less digits than its factorization.

51350171378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975210 (or 1975189 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 51350171378688 in words is "fifty-one trillion, three hundred fifty billion, one hundred seventy-one million, three hundred seventy-eight thousand, six hundred eighty-eight".